A random varible x has the following probability function:

the value of k and its mean

A random variable X has the following probability function: Calculated K.

A random variable X has the following probability function: Calculate the minimum value of K.such that P(x le 1) > 0.36 .

A discreate random variable x has the following probability distribution: Find mean and standard deviation.

A random variable X has the following probability distribution: Find the expectation of the random variable X.

A random variable X has the following probability function: Find P(x <2),P(x ge 2),P(-2 < x le 2)

A random variable X has the following probability distribution:  Determine (i) K (ii) P(X lt 3)  (iii) P(X gt 6) (iv) P(0 lt X lt 3)

A discrete random variable X has the following distribution: find a.

The random variable X has a probability distribution P(X) of the following form, where k is some number : P(X)={{:(k, "if " x=0),(2k, "if " x=1),(3k, "if " x=2),(0, "otherwise"):} (a) Determine the value of k. (b) Find P (X lt 2), P (X le 2), P(X ge 2) .

Find out the mean and variance of the following probability distribution: where p_i= P(X=x_1)

If the mean of the following data is 54 then find the value k.